Instructor:  David Pollard 
When:  Tuesday, Thursday 2:30  3:45 
Where:  24 Hillhouse, main classroom 
Office hours:  Wednesday 3:005:00 and immediately after each lecture. 
TA:  Elena Khusainova (help session Mon 5:307:00 in basement 24HH) 
Inspiration:  HL ANK PL JD 
Other:  courses taught by DP in previous years 
Short description:  Measure theoretic probability, conditioning, laws of large numbers, convergence in distribution, characteristic functions, central limit theorems, martingales. Some knowledge of real analysis is assumed. 
Intended audience: 
The course is aimed at students (both graduate and undergraduate)
who are either comfortable with real analysis or who are prepared
to invest some extra effort to learn more real analysis during the
course. Prior exposure to an introductory probability course
(such as Stat
241/541) would be an advantage, but is not essential.
Knowledge of measure theory is not assumed. The first few weeks of the course will introduce key measure theoretic ideas, with other ideas explained as needed. 
Text: 
Pollard, User's Guide to Measure Theoretic Probability
Cambridge University Press 2001.
A sample: UGMTPextract = first two chapters from UGMTP, plus a rewrite of section 2.11 (replacing cones by vector spaces). Ignore old 2.11. Compare with summary. If you prefer a more standard text, one of the books on the list of references might be to your taste. 
Topics: 
Coverage similar to the description at the end of the
Preface, which follows the 
Grading: 
The final grade will be based entirely on the weekly homework, which is due each Thursday.
Students who wish to work in teams (no more than 2 to a team) should submit a single solution set. Each member of a team will be expected to understand the team's solutions sufficiently well to explain the reasoning at the blackboard. Teams are expected to work independently of each other. 
Other resources: 
